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Atlas › Integer Profiles › Node 36,926,454

36,926,454

2 × 3 × 23 × 29 × 9227
Abundant Even Composite

36,926,454 factors as 2 × 3 × 23 × 29 × 9227. Its 32 positive divisors give a proper-divisor sum of 42,803,466, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 29 × 9227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,729,920
Proper Divisor Sum 42,803,466
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36926453 ← → #36926489

Radix Representation

Decimal 36926454
Binary 10001100110111001111110110 (26 bits)
Octal 0o214671766
Hexadecimal 0x23373F6

Divisor Catalog (32)

1 2 3 6 23 29 46 58 69 87 138 174 667 1,334 2,001 4,002 9,227 18,454 27,681 55,362 212,221 267,583 424,442 535,166 636,663 802,749 1,273,326 1,605,498 6,154,409 12,308,818 18,463,227 36,926,454

Collatz Trajectory (77 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

36,926,454 18,463,227 55,389,682 27,694,841 83,084,524 41,542,262 20,771,131 62,313,394 31,156,697 93,470,092 46,735,046 23,367,523 70,102,570 35,051,285 105,153,856 52,576,928 26,288,464 13,144,232 6,572,116 3,286,058 1,643,029 4,929,088 2,464,544 1,232,272 616,136 308,068 154,034 77,017 231,052 115,526 57,763 173,290 86,645 259,936 129,968 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181

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